Creep in Composite Continuous Beams. I: Theoretical Treatment
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Volume 119, Issue 7
Abstract
In this first part of the paper, the viscoelastic analysis of composite steel‐concrete continuous beams with flexible shear connectors is performed. The method proposed evaluates the stress redistribution between the concrete slab and the steel beam, and the evolution of the redundant restraint reactions, which occur with time as a result of creep and shrinkage of the concrete part. The effects produced both by geometric and static actions are considered. The mathematical formulation of the problem involves the equations of equilibrium, internal and external compatibility conditions, and constitutive relationships, i.e. an elastic law for the steel part and an integral‐type creep law for the concrete part. Thus, the problem for a continuous beam with redundant reactions is governed by a coupled system of equations, of which two are integral‐differential‐type equations. Successively, this system is resolved by numerical step‐by‐step techniques. Therefore, performing two standard discretizations, in time and along the beam axis, a numeric algorithm is proposed.
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References
1.
Bažant, Z. P. (1970). “Numerical analysis of creep of an indeterminate composite beam.” J. Appl. Mech., Ser. E(37), 1161–1164.
2.
Bažant, Z. P. (1972a). “Numerical determination of long‐range stress history from strain history in concrete.” Mat. and Struct. (RILEM), 5(27), 135–141.
3.
Bažant, Z. P. (1972b). “Prediction of concrete creep effects using age‐adjusted effective modulus method.” J. Am. Concr. Inst., 69(4), 212–217.
4.
Bažant, Z. P. (1974). “Comparison of approximate linear methods for concrete creep.” J. Struct. Engrg. Div., ASCE, 100(9), 1851–1874.
5.
Bažant, Z. P. (1975). “Theory of creep and shrinkage in concrete structures: A precis of recent developments.” Mechanics today 2, Pergamon Press, New York, N.Y.
6.
Bažant, Z. P., and Křístek, V. (1987). “Shear lag effect and uncertainty in concrete box girder creep.” J. Struct. Engrg., ASCE, 113(3), 557–574.
7.
Bažant, Z. P., Křístek, V., and Vítek, J. L. (1992). “Drying and cracking effects in box‐girder bridge segment.” J. Struct. Engrg., ASCE, 118(1), 305–321.
8.
Bradford, M. A. (1991). “Deflexions of composite beams subjected to creep and shrinkage.” ACI Struct. J., 88(5), 610–615.
9.
Bradford, M. A., and Gilbert, R. I. (1991). “Time‐dependent behaviour of simply‐supported steel‐concrete composite beams.” Mag. of Concrete Res., 43(157), 265–274.
10.
Chiorino, M. A., Napoli, P., Mola, F., and Koprna, M. (1984). “C.E.B. design manual on structural effects of time dependent behaviour of concrete.” C.E.B. Bulletin d'Information No. 142/142 bis, Georgi Publ. Co., Saint‐Saphorin, Switzerland.
11.
Dezi, L., Ianni, C., and Tarantino, A. M. (1993). “Simplified creep analysis of composite beams with flexible connectors.” J. Struct. Engrg., ASCE, 119(5), 1484–1497.
12.
Dezi, L., and Tarantino, A. M. (1993). “Creep in composite continuous beams. II. Parametric study.” J. Struct. Engrg., ASCE, 119(7), 2112–2133.
13.
Dilger, W. H. (1982). “Method of structural creep analysis.” Creep and shrinkage in concrete structures, Z. P. Bažant and F. H. Wittmann, eds., J. Wiley & Sons, London, England, 305–339.
14.
Dischinger, F. (1937). “Untersuchungen uber die Knicksicherheit die elastische Verformung und das Kriechen des Betons bei Bogenbruken.” Der Bauingenieur, Berlin, Germany, 18(33/34), 487–520, 18(35/36), 539–552, 18(39/40), 595–621 (in German).
15.
“Eurocode No. 4: Common unified rules for composite steel and concrete structures.” (1985). Rep. EUR 9886 EN, Commission of European Communities, Luxembourg, Luxembourg.
16.
Gilbert, R. I. (1988). Time effects in concrete structures. Elsevier Science Publishing Co., Inc., New York, N.Y.
17.
Gilbert, R. I. (1989). “Time‐dependent analysis of composite steel‐concrete sections.” J. Struct. Engrg., ASCE, 115(11), 2687–2705.
18.
McHenry, D. (1943). “A new aspect of creep in concrete and its application to design.” Proc., ASTM, Philadelphia, Pa., 43, 1069–1086.
19.
Mola, F. (1989). “Analisi dello stato di tensione e di deformazione nelle travi a sezione mista acciaio‐calcestruzzo sotto azioni di lunga durata.” Studi e Ricerche, Bergamo, Italy, 11, 107–128 (in Italian).
20.
Neville, A. M., Dilger, W. H., and Brooks, J. J. (1983). Creep of plain and structural concrete. Construction Press, Longman Group Ltd., London, England.
21.
Newmark, N. M., Siess, C. P., and Viest, I. M. (1951). “Tests and analysis of composite beams with incomplete interaction.” Proc. Soc. Exp. Stress Anal., 9(1), 75–92.
22.
Oehlers, D. J. (1989). “Splitting induced by shear connectors in composite beams.” J. Struct. Engrg., ASCE, 115(2), 341–362.
23.
“Prediction of creep, shrinkage and temperature effects in concrete structures.” (1982). Rep. ACI 209R‐82; ACI Spec. Publ. SP‐76, prepared by D. J. Carreira, Z. P. Bažant, and Bronson, Amer. Concrete Inst., Detroit, Mich., 193–300.
24.
Roll, F. (1971). “Effects of differential shrinkage and creep on composite steel‐concrete structures.” Designing for effects of creep, shrinkage and temperature in composite structures, SP‐27, American Concrete Institute, Detroit, 187–214.
25.
Tarantino, A. M., and Dezi, L. (1992). “Creep effects in composite beams with flexible shear connectors.” J. Struct. Engrg., ASCE, 118(8), 2063–2081.
26.
Trost, H. (1967a). “Auswirkungen des Superpositionsprinzips auf Kriech‐und Relaxations‐Probleme bei Beton und Spannbeton.” Beton‐und‐Stahlbetonbau, Berlin, Germany, 62(10), 230–238 (in German).
27.
Trost, H. (1967b). “Auswirkungen des Superpositionsprinzips auf Kriech‐und Relaxations‐Probleme bei Beton und Spannbeton.” Beton‐und‐Stahlbetonbau, Berlin, Germany, 62(11), 261–269 (in German).
28.
Wright, H. D. (1990). “The deformation of composite beams with discrete flexible connection.” J. Constr. Steel Res., 15, 49–64.
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Copyright © 1993 American Society of Civil Engineers.
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Received: Jul 22, 1992
Published online: Jul 1, 1993
Published in print: Jul 1993
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